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Finding the Fourth Proportional to 2,706.80, 3,735.37 and 1,527.85

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Solution

The fourth proportional to 2,706.80, 3,735.37 and 1,527.85 is: 2,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.80 : 3,735.37 = 1,527.85 : x
  2. Step 2: Convert to fraction form
    2,706.80/3,735.37 = 1,527.85/x
  3. Step 3: Cross multiply
    2,706.80x = 3,735.37 × 1,527.85
  4. Step 4: Simplify right side
    2,706.80x = 5,707,085.05
  5. Step 5: Solve for x
    x = 5,707,085.05/2,706.80
  6. Step 6: Final answer
    x = 2,108.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.